Average Rate of Change as Slope of Secant

Q. A point moves in a straight line during the time t=0 to t=3 according to the law $s=15t-2t^2$. The average velocity is

1. 3
2. 9
3. 27
4. 15

Q.

The average rate of change of f(x) = a $x^2$ +bx+c , over the interval [x1, x2] is zero. Then x1 and x2 are the roots of f(x) = 0

1. True

2. False

Q. A particle is moving in a straight line according to the formula s = $t^2$ + 8t + 12. If s be measured in metre and t be measured in second, then the average velocity of the particle in third second is

1. 13 m / sec
2. None of these
3. 14 m / sec
4. 15 m / sec

Q.

In the above figure, slope of the secant will give the rate of change of f(x) at x = $\frac{(a+b)}{2}$

1. True

2. False

Q.

In the above figure, slope of the secant will give the rate of change of f(x) at x = $\frac{(a+b)}{2}$

1. True

2. False

Q.

A function f(x) is given as f(x) = 5. Find the average rate of change of f(x) in the interval [1000, 1025]

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Q.

A function f(x) is given as f(x) = 5. Find the average rate of change of f(x) in the interval [1000, 1025]

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Q. Three numbers $a,b,c$ are between $2$ and $18$ such that their sum is $25.2,a,b$ are in $A.P.$ and $b,c,$ $18$ are in $G.P.$ Find $abc$.

Q.

If the average rate of change of f(x) with respect to x over the interval [a, b] is m, then find the value of $\frac{1}{m^2}$

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Q. A point moves in a straight line during the time t = 0 to t = 3 according to the law $s=15t-2t^2.$ The average velocity is
[MP PET 1992]

1. 9

2. 3

3. 15
4. 27

Q.

f(x) = $x^2$+2x+5. Find the average rate of change of f(x) in the interval [0, 2]

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Q.

The average rate of change of f(x) = a $x^2$ +bx+c , over the interval [x1, x2] is zero. Then x1 and x2 are the roots of f(x) = 0

1. True

2. False

Q.

f(x) = $x^2$+2x+5. Find the average rate of change of f(x) in the interval [0, 2]

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Q.

f(x) = $x^2$+2x+5. Find the average rate of change of f(x) in the interval [0, 2]

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Q.

f(x) = $x^2$+2x+5. Find the average rate of change of f(x) in the interval [0, 2]

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Q.

If the average rate of change of f(x) with respect to x over the interval [a, b] is m, then find the value of $\frac{1}{m^2}$

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Q.

The average rate of change of f(x) = a $x^2$ +bx+c , over the interval [x1, x2] is zero. Then x1 and x2 are the roots of f(x) = 0

1. True

2. False

Q.

In the above figure, slope of the secant will give the rate of change of f(x) at x = $\frac{(a+b)}{2}$

1. True

2. False

Q. A particle is moving in a straight line according to the formula s = $t^2$ + 8t + 12. If s be measured in metre and t be measured in second, then the average velocity of the particle in third second is

1. 15 m / sec
2. None of these
3. 14 m / sec
4. 13 m / sec

Q. A particle is moving in a straight line according to the formula s = $t^2$ + 8t + 12. If s be measured in metre and t be measured in second, then the average velocity of the particle in third second is

1. 14 m / sec
2. 13 m / sec
3. 15 m / sec
4. None of these

Q. How do you find the average rate of change of $F\left(x\right)=3+x^3$ from 0 to 2?

Q.

A function f(x) is given as f(x) = 5. Find the average rate of change of f(x) in the interval [1000, 1025]

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Q.

If the average rate of change of f(x) with respect to x over the interval [a, b] is m, then find the value of $\frac{1}{m^2}$

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